Question

This trapezoid is composed of a rectangle and two triangles. What is the area of the trapezoid? A) 44cm2 B)40cm2 C)36cm2

Answer 1

Answer:

A) $44\ cm^2$

Step-by-step explanation:

Given:

Trapezoid is composed of 2 triangles and 1 rectangle.

In order to find area of trapezoid, we will find area of each shape contained in the trapezoid and add them together

Area of triangles:

Base = 2 cm

Height = 4 cm

Area of a triangle = $\frac{1}{2}\times base\times height$

Plugging in given values.

Area of a triangle = $\frac{1}{2}\times 2\times 4=4\ cm^2$

Ares of other triangle would be same as they have same height and base.

So, Area of two triangles = $2\times 4 =8\ cm^2$

Area of rectangle:

Length = 9 cm

Width = 4 cm

Area of rectangle  = $length \times width$

Area of rectangle  = $9 \times 4=36\ cm^2$

So, area of trapezoid = $\textrm{Area of triangles + Area of rectangle}$

∴ Area of trapezoid = $8\ cm^2+36\ cm^2=44\ cm^2$